1// The template and inlines for the -*- C++ -*- valarray class.
2
3// Copyright (C) 1997, 1998, 1999, 2000, 2001, 2002, 2004, 2005, 2006, 2007
4// Free Software Foundation, Inc.
5//
6// This file is part of the GNU ISO C++ Library.  This library is free
7// software; you can redistribute it and/or modify it under the
8// terms of the GNU General Public License as published by the
9// Free Software Foundation; either version 2, or (at your option)
10// any later version.
11
12// This library is distributed in the hope that it will be useful,
13// but WITHOUT ANY WARRANTY; without even the implied warranty of
14// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
15// GNU General Public License for more details.
16
17// You should have received a copy of the GNU General Public License along
18// with this library; see the file COPYING.  If not, write to the Free
19// Software Foundation, 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301,
20// USA.
21
22// As a special exception, you may use this file as part of a free software
23// library without restriction.  Specifically, if other files instantiate
24// templates or use macros or inline functions from this file, or you compile
25// this file and link it with other files to produce an executable, this
26// file does not by itself cause the resulting executable to be covered by
27// the GNU General Public License.  This exception does not however
28// invalidate any other reasons why the executable file might be covered by
29// the GNU General Public License.
30
31/** @file valarray
32 *  This is a Standard C++ Library header.
33 */
34
35// Written by Gabriel Dos Reis <Gabriel.Dos-Reis@DPTMaths.ENS-Cachan.Fr>
36
37#ifndef _GLIBCXX_VALARRAY
38#define _GLIBCXX_VALARRAY 1
39
40#pragma GCC system_header
41
42#include <bits/c++config.h>
43#include <cstddef>
44#include <cmath>
45#include <cstdlib>
46#include <numeric>
47#include <algorithm>
48#include <debug/debug.h>
49
50_GLIBCXX_BEGIN_NAMESPACE(std)
51
52  template<class _Clos, typename _Tp>
53    class _Expr;
54
55  template<typename _Tp1, typename _Tp2>
56    class _ValArray;
57
58  template<class _Oper, template<class, class> class _Meta, class _Dom>
59    struct _UnClos;
60
61  template<class _Oper,
62        template<class, class> class _Meta1,
63        template<class, class> class _Meta2,
64        class _Dom1, class _Dom2>
65    class _BinClos;
66
67  template<template<class, class> class _Meta, class _Dom>
68    class _SClos;
69
70  template<template<class, class> class _Meta, class _Dom>
71    class _GClos;
72
73  template<template<class, class> class _Meta, class _Dom>
74    class _IClos;
75
76  template<template<class, class> class _Meta, class _Dom>
77    class _ValFunClos;
78
79  template<template<class, class> class _Meta, class _Dom>
80    class _RefFunClos;
81
82  template<class _Tp> class valarray;   // An array of type _Tp
83  class slice;                          // BLAS-like slice out of an array
84  template<class _Tp> class slice_array;
85  class gslice;                         // generalized slice out of an array
86  template<class _Tp> class gslice_array;
87  template<class _Tp> class mask_array;     // masked array
88  template<class _Tp> class indirect_array; // indirected array
89
90_GLIBCXX_END_NAMESPACE
91
92#include <bits/valarray_array.h>
93#include <bits/valarray_before.h>
94
95_GLIBCXX_BEGIN_NAMESPACE(std)
96
97  /**
98   *  @brief  Smart array designed to support numeric processing.
99   *
100   *  A valarray is an array that provides constraints intended to allow for
101   *  effective optimization of numeric array processing by reducing the
102   *  aliasing that can result from pointer representations.  It represents a
103   *  one-dimensional array from which different multidimensional subsets can
104   *  be accessed and modified.
105   *
106   *  @param  Tp  Type of object in the array.
107   */
108  template<class _Tp>
109    class valarray
110    {
111      template<class _Op>
112	struct _UnaryOp
113	{
114	  typedef typename __fun<_Op, _Tp>::result_type __rt;
115	  typedef _Expr<_UnClos<_Op, _ValArray, _Tp>, __rt> _Rt;
116	};
117    public:
118      typedef _Tp value_type;
119
120	// _lib.valarray.cons_ construct/destroy:
121      ///  Construct an empty array.
122      valarray();
123
124      ///  Construct an array with @a n elements.
125      explicit valarray(size_t);
126
127      ///  Construct an array with @a n elements initialized to @a t.
128      valarray(const _Tp&, size_t);
129
130      ///  Construct an array initialized to the first @a n elements of @a t.
131      valarray(const _Tp* __restrict__, size_t);
132
133      ///  Copy constructor.
134      valarray(const valarray&);
135
136      ///  Construct an array with the same size and values in @a sa.
137      valarray(const slice_array<_Tp>&);
138
139      ///  Construct an array with the same size and values in @a ga.
140      valarray(const gslice_array<_Tp>&);
141
142      ///  Construct an array with the same size and values in @a ma.
143      valarray(const mask_array<_Tp>&);
144
145      ///  Construct an array with the same size and values in @a ia.
146      valarray(const indirect_array<_Tp>&);
147
148      template<class _Dom>
149	valarray(const _Expr<_Dom, _Tp>& __e);
150
151      ~valarray();
152
153      // _lib.valarray.assign_ assignment:
154      /**
155       *  @brief  Assign elements to an array.
156       *
157       *  Assign elements of array to values in @a v.  Results are undefined
158       *  if @a v does not have the same size as this array.
159       *
160       *  @param  v  Valarray to get values from.
161       */
162      valarray<_Tp>& operator=(const valarray<_Tp>&);
163
164      /**
165       *  @brief  Assign elements to a value.
166       *
167       *  Assign all elements of array to @a t.
168       *
169       *  @param  t  Value for elements.
170       */
171      valarray<_Tp>& operator=(const _Tp&);
172
173      /**
174       *  @brief  Assign elements to an array subset.
175       *
176       *  Assign elements of array to values in @a sa.  Results are undefined
177       *  if @a sa does not have the same size as this array.
178       *
179       *  @param  sa  Array slice to get values from.
180       */
181      valarray<_Tp>& operator=(const slice_array<_Tp>&);
182
183      /**
184       *  @brief  Assign elements to an array subset.
185       *
186       *  Assign elements of array to values in @a ga.  Results are undefined
187       *  if @a ga does not have the same size as this array.
188       *
189       *  @param  ga  Array slice to get values from.
190       */
191      valarray<_Tp>& operator=(const gslice_array<_Tp>&);
192
193      /**
194       *  @brief  Assign elements to an array subset.
195       *
196       *  Assign elements of array to values in @a ma.  Results are undefined
197       *  if @a ma does not have the same size as this array.
198       *
199       *  @param  ma  Array slice to get values from.
200       */
201      valarray<_Tp>& operator=(const mask_array<_Tp>&);
202
203      /**
204       *  @brief  Assign elements to an array subset.
205       *
206       *  Assign elements of array to values in @a ia.  Results are undefined
207       *  if @a ia does not have the same size as this array.
208       *
209       *  @param  ia  Array slice to get values from.
210       */
211      valarray<_Tp>& operator=(const indirect_array<_Tp>&);
212
213      template<class _Dom> valarray<_Tp>&
214	operator= (const _Expr<_Dom, _Tp>&);
215
216      // _lib.valarray.access_ element access:
217      /**
218       *  Return a reference to the i'th array element.
219       *
220       *  @param  i  Index of element to return.
221       *  @return  Reference to the i'th element.
222       */
223      _Tp&                operator[](size_t);
224
225      // _GLIBCXX_RESOLVE_LIB_DEFECTS
226      // 389. Const overload of valarray::operator[] returns by value.
227      const _Tp&          operator[](size_t) const;
228
229      // _lib.valarray.sub_ subset operations:
230      /**
231       *  @brief  Return an array subset.
232       *
233       *  Returns a new valarray containing the elements of the array
234       *  indicated by the slice argument.  The new valarray has the same size
235       *  as the input slice.  @see slice.
236       *
237       *  @param  s  The source slice.
238       *  @return  New valarray containing elements in @a s.
239       */
240      _Expr<_SClos<_ValArray, _Tp>, _Tp> operator[](slice) const;
241
242      /**
243       *  @brief  Return a reference to an array subset.
244       *
245       *  Returns a new valarray containing the elements of the array
246       *  indicated by the slice argument.  The new valarray has the same size
247       *  as the input slice.  @see slice.
248       *
249       *  @param  s  The source slice.
250       *  @return  New valarray containing elements in @a s.
251       */
252      slice_array<_Tp>    operator[](slice);
253
254      /**
255       *  @brief  Return an array subset.
256       *
257       *  Returns a slice_array referencing the elements of the array
258       *  indicated by the slice argument.  @see gslice.
259       *
260       *  @param  s  The source slice.
261       *  @return  Slice_array referencing elements indicated by @a s.
262       */
263      _Expr<_GClos<_ValArray, _Tp>, _Tp> operator[](const gslice&) const;
264
265      /**
266       *  @brief  Return a reference to an array subset.
267       *
268       *  Returns a new valarray containing the elements of the array
269       *  indicated by the gslice argument.  The new valarray has
270       *  the same size as the input gslice.  @see gslice.
271       *
272       *  @param  s  The source gslice.
273       *  @return  New valarray containing elements in @a s.
274       */
275      gslice_array<_Tp>   operator[](const gslice&);
276
277      /**
278       *  @brief  Return an array subset.
279       *
280       *  Returns a new valarray containing the elements of the array
281       *  indicated by the argument.  The input is a valarray of bool which
282       *  represents a bitmask indicating which elements should be copied into
283       *  the new valarray.  Each element of the array is added to the return
284       *  valarray if the corresponding element of the argument is true.
285       *
286       *  @param  m  The valarray bitmask.
287       *  @return  New valarray containing elements indicated by @a m.
288       */
289      valarray<_Tp>       operator[](const valarray<bool>&) const;
290
291      /**
292       *  @brief  Return a reference to an array subset.
293       *
294       *  Returns a new mask_array referencing the elements of the array
295       *  indicated by the argument.  The input is a valarray of bool which
296       *  represents a bitmask indicating which elements are part of the
297       *  subset.  Elements of the array are part of the subset if the
298       *  corresponding element of the argument is true.
299       *
300       *  @param  m  The valarray bitmask.
301       *  @return  New valarray containing elements indicated by @a m.
302       */
303      mask_array<_Tp>     operator[](const valarray<bool>&);
304
305      /**
306       *  @brief  Return an array subset.
307       *
308       *  Returns a new valarray containing the elements of the array
309       *  indicated by the argument.  The elements in the argument are
310       *  interpreted as the indices of elements of this valarray to copy to
311       *  the return valarray.
312       *
313       *  @param  i  The valarray element index list.
314       *  @return  New valarray containing elements in @a s.
315       */
316      _Expr<_IClos<_ValArray, _Tp>, _Tp>
317        operator[](const valarray<size_t>&) const;
318
319      /**
320       *  @brief  Return a reference to an array subset.
321       *
322       *  Returns an indirect_array referencing the elements of the array
323       *  indicated by the argument.  The elements in the argument are
324       *  interpreted as the indices of elements of this valarray to include
325       *  in the subset.  The returned indirect_array refers to these
326       *  elements.
327       *
328       *  @param  i  The valarray element index list.
329       *  @return  Indirect_array referencing elements in @a i.
330       */
331      indirect_array<_Tp> operator[](const valarray<size_t>&);
332
333      // _lib.valarray.unary_ unary operators:
334      ///  Return a new valarray by applying unary + to each element.
335      typename _UnaryOp<__unary_plus>::_Rt  operator+() const;
336
337      ///  Return a new valarray by applying unary - to each element.
338      typename _UnaryOp<__negate>::_Rt      operator-() const;
339
340      ///  Return a new valarray by applying unary ~ to each element.
341      typename _UnaryOp<__bitwise_not>::_Rt operator~() const;
342
343      ///  Return a new valarray by applying unary ! to each element.
344      typename _UnaryOp<__logical_not>::_Rt operator!() const;
345
346      // _lib.valarray.cassign_ computed assignment:
347      ///  Multiply each element of array by @a t.
348      valarray<_Tp>& operator*=(const _Tp&);
349
350      ///  Divide each element of array by @a t.
351      valarray<_Tp>& operator/=(const _Tp&);
352
353      ///  Set each element e of array to e % @a t.
354      valarray<_Tp>& operator%=(const _Tp&);
355
356      ///  Add @a t to each element of array.
357      valarray<_Tp>& operator+=(const _Tp&);
358
359      ///  Subtract @a t to each element of array.
360      valarray<_Tp>& operator-=(const _Tp&);
361
362      ///  Set each element e of array to e ^ @a t.
363      valarray<_Tp>& operator^=(const _Tp&);
364
365      ///  Set each element e of array to e & @a t.
366      valarray<_Tp>& operator&=(const _Tp&);
367
368      ///  Set each element e of array to e | @a t.
369      valarray<_Tp>& operator|=(const _Tp&);
370
371      ///  Left shift each element e of array by @a t bits.
372      valarray<_Tp>& operator<<=(const _Tp&);
373
374      ///  Right shift each element e of array by @a t bits.
375      valarray<_Tp>& operator>>=(const _Tp&);
376
377      ///  Multiply elements of array by corresponding elements of @a v.
378      valarray<_Tp>& operator*=(const valarray<_Tp>&);
379
380      ///  Divide elements of array by corresponding elements of @a v.
381      valarray<_Tp>& operator/=(const valarray<_Tp>&);
382
383      ///  Modulo elements of array by corresponding elements of @a v.
384      valarray<_Tp>& operator%=(const valarray<_Tp>&);
385
386      ///  Add corresponding elements of @a v to elements of array.
387      valarray<_Tp>& operator+=(const valarray<_Tp>&);
388
389      ///  Subtract corresponding elements of @a v from elements of array.
390      valarray<_Tp>& operator-=(const valarray<_Tp>&);
391
392      ///  Logical xor corresponding elements of @a v with elements of array.
393      valarray<_Tp>& operator^=(const valarray<_Tp>&);
394
395      ///  Logical or corresponding elements of @a v with elements of array.
396      valarray<_Tp>& operator|=(const valarray<_Tp>&);
397
398      ///  Logical and corresponding elements of @a v with elements of array.
399      valarray<_Tp>& operator&=(const valarray<_Tp>&);
400
401      ///  Left shift elements of array by corresponding elements of @a v.
402      valarray<_Tp>& operator<<=(const valarray<_Tp>&);
403
404      ///  Right shift elements of array by corresponding elements of @a v.
405      valarray<_Tp>& operator>>=(const valarray<_Tp>&);
406
407      template<class _Dom>
408	valarray<_Tp>& operator*=(const _Expr<_Dom, _Tp>&);
409      template<class _Dom>
410	valarray<_Tp>& operator/=(const _Expr<_Dom, _Tp>&);
411      template<class _Dom>
412	valarray<_Tp>& operator%=(const _Expr<_Dom, _Tp>&);
413      template<class _Dom>
414	valarray<_Tp>& operator+=(const _Expr<_Dom, _Tp>&);
415      template<class _Dom>
416	valarray<_Tp>& operator-=(const _Expr<_Dom, _Tp>&);
417      template<class _Dom>
418	valarray<_Tp>& operator^=(const _Expr<_Dom, _Tp>&);
419      template<class _Dom>
420	valarray<_Tp>& operator|=(const _Expr<_Dom, _Tp>&);
421      template<class _Dom>
422	valarray<_Tp>& operator&=(const _Expr<_Dom, _Tp>&);
423      template<class _Dom>
424        valarray<_Tp>& operator<<=(const _Expr<_Dom, _Tp>&);
425      template<class _Dom>
426	valarray<_Tp>& operator>>=(const _Expr<_Dom, _Tp>&);
427
428      // _lib.valarray.members_ member functions:
429      ///  Return the number of elements in array.
430      size_t size() const;
431
432      /**
433       *  @brief  Return the sum of all elements in the array.
434       *
435       *  Accumulates the sum of all elements into a Tp using +=.  The order
436       *  of adding the elements is unspecified.
437       */
438      _Tp    sum() const;
439
440      ///  Return the minimum element using operator<().
441      _Tp    min() const;
442
443      ///  Return the maximum element using operator<().
444      _Tp    max() const;
445
446      /**
447       *  @brief  Return a shifted array.
448       *
449       *  A new valarray is constructed as a copy of this array with elements
450       *  in shifted positions.  For an element with index i, the new position
451       *  is i - n.  The new valarray has the same size as the current one.
452       *  New elements without a value are set to 0.  Elements whose new
453       *  position is outside the bounds of the array are discarded.
454       *
455       *  Positive arguments shift toward index 0, discarding elements [0, n).
456       *  Negative arguments discard elements from the top of the array.
457       *
458       *  @param  n  Number of element positions to shift.
459       *  @return  New valarray with elements in shifted positions.
460       */
461      valarray<_Tp> shift (int) const;
462
463      /**
464       *  @brief  Return a rotated array.
465       *
466       *  A new valarray is constructed as a copy of this array with elements
467       *  in shifted positions.  For an element with index i, the new position
468       *  is (i - n) % size().  The new valarray has the same size as the
469       *  current one.  Elements that are shifted beyond the array bounds are
470       *  shifted into the other end of the array.  No elements are lost.
471       *
472       *  Positive arguments shift toward index 0, wrapping around the top.
473       *  Negative arguments shift towards the top, wrapping around to 0.
474       *
475       *  @param  n  Number of element positions to rotate.
476       *  @return  New valarray with elements in shifted positions.
477       */
478      valarray<_Tp> cshift(int) const;
479
480      /**
481       *  @brief  Apply a function to the array.
482       *
483       *  Returns a new valarray with elements assigned to the result of
484       *  applying func to the corresponding element of this array.  The new
485       *  array has the same size as this one.
486       *
487       *  @param  func  Function of Tp returning Tp to apply.
488       *  @return  New valarray with transformed elements.
489       */
490      _Expr<_ValFunClos<_ValArray, _Tp>, _Tp> apply(_Tp func(_Tp)) const;
491
492      /**
493       *  @brief  Apply a function to the array.
494       *
495       *  Returns a new valarray with elements assigned to the result of
496       *  applying func to the corresponding element of this array.  The new
497       *  array has the same size as this one.
498       *
499       *  @param  func  Function of const Tp& returning Tp to apply.
500       *  @return  New valarray with transformed elements.
501       */
502      _Expr<_RefFunClos<_ValArray, _Tp>, _Tp> apply(_Tp func(const _Tp&)) const;
503
504      /**
505       *  @brief  Resize array.
506       *
507       *  Resize this array to @a size and set all elements to @a c.  All
508       *  references and iterators are invalidated.
509       *
510       *  @param  size  New array size.
511       *  @param  c  New value for all elements.
512       */
513      void resize(size_t __size, _Tp __c = _Tp());
514
515    private:
516      size_t _M_size;
517      _Tp* __restrict__ _M_data;
518
519      friend class _Array<_Tp>;
520    };
521
522  template<typename _Tp>
523    inline const _Tp&
524    valarray<_Tp>::operator[](size_t __i) const
525    {
526      __glibcxx_requires_subscript(__i);
527      return _M_data[__i];
528    }
529
530  template<typename _Tp>
531    inline _Tp&
532    valarray<_Tp>::operator[](size_t __i)
533    {
534      __glibcxx_requires_subscript(__i);
535      return _M_data[__i];
536    }
537
538_GLIBCXX_END_NAMESPACE
539
540#include <bits/valarray_after.h>
541#include <bits/slice_array.h>
542#include <bits/gslice.h>
543#include <bits/gslice_array.h>
544#include <bits/mask_array.h>
545#include <bits/indirect_array.h>
546
547_GLIBCXX_BEGIN_NAMESPACE(std)
548
549  template<typename _Tp>
550    inline
551    valarray<_Tp>::valarray() : _M_size(0), _M_data(0) {}
552
553  template<typename _Tp>
554    inline
555    valarray<_Tp>::valarray(size_t __n)
556    : _M_size(__n), _M_data(__valarray_get_storage<_Tp>(__n))
557    { std::__valarray_default_construct(_M_data, _M_data + __n); }
558
559  template<typename _Tp>
560    inline
561    valarray<_Tp>::valarray(const _Tp& __t, size_t __n)
562    : _M_size(__n), _M_data(__valarray_get_storage<_Tp>(__n))
563    { std::__valarray_fill_construct(_M_data, _M_data + __n, __t); }
564
565  template<typename _Tp>
566    inline
567    valarray<_Tp>::valarray(const _Tp* __restrict__ __p, size_t __n)
568    : _M_size(__n), _M_data(__valarray_get_storage<_Tp>(__n))
569    {
570      _GLIBCXX_DEBUG_ASSERT(__p != 0 || __n == 0);
571      std::__valarray_copy_construct(__p, __p + __n, _M_data);
572    }
573
574  template<typename _Tp>
575    inline
576    valarray<_Tp>::valarray(const valarray<_Tp>& __v)
577    : _M_size(__v._M_size), _M_data(__valarray_get_storage<_Tp>(__v._M_size))
578    { std::__valarray_copy_construct(__v._M_data, __v._M_data + _M_size,
579				     _M_data); }
580
581  template<typename _Tp>
582    inline
583    valarray<_Tp>::valarray(const slice_array<_Tp>& __sa)
584    : _M_size(__sa._M_sz), _M_data(__valarray_get_storage<_Tp>(__sa._M_sz))
585    {
586      std::__valarray_copy_construct
587	(__sa._M_array, __sa._M_sz, __sa._M_stride, _Array<_Tp>(_M_data));
588    }
589
590  template<typename _Tp>
591    inline
592    valarray<_Tp>::valarray(const gslice_array<_Tp>& __ga)
593    : _M_size(__ga._M_index.size()),
594      _M_data(__valarray_get_storage<_Tp>(_M_size))
595    {
596      std::__valarray_copy_construct
597	(__ga._M_array, _Array<size_t>(__ga._M_index),
598	 _Array<_Tp>(_M_data), _M_size);
599    }
600
601  template<typename _Tp>
602    inline
603    valarray<_Tp>::valarray(const mask_array<_Tp>& __ma)
604    : _M_size(__ma._M_sz), _M_data(__valarray_get_storage<_Tp>(__ma._M_sz))
605    {
606      std::__valarray_copy_construct
607	(__ma._M_array, __ma._M_mask, _Array<_Tp>(_M_data), _M_size);
608    }
609
610  template<typename _Tp>
611    inline
612    valarray<_Tp>::valarray(const indirect_array<_Tp>& __ia)
613    : _M_size(__ia._M_sz), _M_data(__valarray_get_storage<_Tp>(__ia._M_sz))
614    {
615      std::__valarray_copy_construct
616	(__ia._M_array, __ia._M_index, _Array<_Tp>(_M_data), _M_size);
617    }
618
619  template<typename _Tp> template<class _Dom>
620    inline
621    valarray<_Tp>::valarray(const _Expr<_Dom, _Tp>& __e)
622    : _M_size(__e.size()), _M_data(__valarray_get_storage<_Tp>(_M_size))
623    { std::__valarray_copy_construct(__e, _M_size, _Array<_Tp>(_M_data)); }
624
625  template<typename _Tp>
626    inline
627    valarray<_Tp>::~valarray()
628    {
629      std::__valarray_destroy_elements(_M_data, _M_data + _M_size);
630      std::__valarray_release_memory(_M_data);
631    }
632
633  template<typename _Tp>
634    inline valarray<_Tp>&
635    valarray<_Tp>::operator=(const valarray<_Tp>& __v)
636    {
637      _GLIBCXX_DEBUG_ASSERT(_M_size == __v._M_size);
638      std::__valarray_copy(__v._M_data, _M_size, _M_data);
639      return *this;
640    }
641
642  template<typename _Tp>
643    inline valarray<_Tp>&
644    valarray<_Tp>::operator=(const _Tp& __t)
645    {
646      std::__valarray_fill(_M_data, _M_size, __t);
647      return *this;
648    }
649
650  template<typename _Tp>
651    inline valarray<_Tp>&
652    valarray<_Tp>::operator=(const slice_array<_Tp>& __sa)
653    {
654      _GLIBCXX_DEBUG_ASSERT(_M_size == __sa._M_sz);
655      std::__valarray_copy(__sa._M_array, __sa._M_sz,
656			   __sa._M_stride, _Array<_Tp>(_M_data));
657      return *this;
658    }
659
660  template<typename _Tp>
661    inline valarray<_Tp>&
662    valarray<_Tp>::operator=(const gslice_array<_Tp>& __ga)
663    {
664      _GLIBCXX_DEBUG_ASSERT(_M_size == __ga._M_index.size());
665      std::__valarray_copy(__ga._M_array, _Array<size_t>(__ga._M_index),
666			   _Array<_Tp>(_M_data), _M_size);
667      return *this;
668    }
669
670  template<typename _Tp>
671    inline valarray<_Tp>&
672    valarray<_Tp>::operator=(const mask_array<_Tp>& __ma)
673    {
674      _GLIBCXX_DEBUG_ASSERT(_M_size == __ma._M_sz);
675      std::__valarray_copy(__ma._M_array, __ma._M_mask,
676			   _Array<_Tp>(_M_data), _M_size);
677      return *this;
678    }
679
680  template<typename _Tp>
681    inline valarray<_Tp>&
682    valarray<_Tp>::operator=(const indirect_array<_Tp>& __ia)
683    {
684      _GLIBCXX_DEBUG_ASSERT(_M_size == __ia._M_sz);
685      std::__valarray_copy(__ia._M_array, __ia._M_index,
686			   _Array<_Tp>(_M_data), _M_size);
687      return *this;
688    }
689
690  template<typename _Tp> template<class _Dom>
691    inline valarray<_Tp>&
692    valarray<_Tp>::operator=(const _Expr<_Dom, _Tp>& __e)
693    {
694      _GLIBCXX_DEBUG_ASSERT(_M_size == __e.size());
695      std::__valarray_copy(__e, _M_size, _Array<_Tp>(_M_data));
696      return *this;
697    }
698
699  template<typename _Tp>
700    inline _Expr<_SClos<_ValArray,_Tp>, _Tp>
701    valarray<_Tp>::operator[](slice __s) const
702    {
703      typedef _SClos<_ValArray,_Tp> _Closure;
704      return _Expr<_Closure, _Tp>(_Closure (_Array<_Tp>(_M_data), __s));
705    }
706
707  template<typename _Tp>
708    inline slice_array<_Tp>
709    valarray<_Tp>::operator[](slice __s)
710    { return slice_array<_Tp>(_Array<_Tp>(_M_data), __s); }
711
712  template<typename _Tp>
713    inline _Expr<_GClos<_ValArray,_Tp>, _Tp>
714    valarray<_Tp>::operator[](const gslice& __gs) const
715    {
716      typedef _GClos<_ValArray,_Tp> _Closure;
717      return _Expr<_Closure, _Tp>
718	(_Closure(_Array<_Tp>(_M_data), __gs._M_index->_M_index));
719    }
720
721  template<typename _Tp>
722    inline gslice_array<_Tp>
723    valarray<_Tp>::operator[](const gslice& __gs)
724    {
725      return gslice_array<_Tp>
726	(_Array<_Tp>(_M_data), __gs._M_index->_M_index);
727    }
728
729  template<typename _Tp>
730    inline valarray<_Tp>
731    valarray<_Tp>::operator[](const valarray<bool>& __m) const
732    {
733      size_t __s = 0;
734      size_t __e = __m.size();
735      for (size_t __i=0; __i<__e; ++__i)
736	if (__m[__i]) ++__s;
737      return valarray<_Tp>(mask_array<_Tp>(_Array<_Tp>(_M_data), __s,
738					   _Array<bool> (__m)));
739    }
740
741  template<typename _Tp>
742    inline mask_array<_Tp>
743    valarray<_Tp>::operator[](const valarray<bool>& __m)
744    {
745      size_t __s = 0;
746      size_t __e = __m.size();
747      for (size_t __i=0; __i<__e; ++__i)
748	if (__m[__i]) ++__s;
749      return mask_array<_Tp>(_Array<_Tp>(_M_data), __s, _Array<bool>(__m));
750    }
751
752  template<typename _Tp>
753    inline _Expr<_IClos<_ValArray,_Tp>, _Tp>
754    valarray<_Tp>::operator[](const valarray<size_t>& __i) const
755    {
756      typedef _IClos<_ValArray,_Tp> _Closure;
757      return _Expr<_Closure, _Tp>(_Closure(*this, __i));
758    }
759
760  template<typename _Tp>
761    inline indirect_array<_Tp>
762    valarray<_Tp>::operator[](const valarray<size_t>& __i)
763    {
764      return indirect_array<_Tp>(_Array<_Tp>(_M_data), __i.size(),
765				 _Array<size_t>(__i));
766    }
767
768  template<class _Tp>
769    inline size_t
770    valarray<_Tp>::size() const
771    { return _M_size; }
772
773  template<class _Tp>
774    inline _Tp
775    valarray<_Tp>::sum() const
776    {
777      _GLIBCXX_DEBUG_ASSERT(_M_size > 0);
778      return std::__valarray_sum(_M_data, _M_data + _M_size);
779    }
780
781  template<class _Tp>
782     inline valarray<_Tp>
783     valarray<_Tp>::shift(int __n) const
784     {
785       valarray<_Tp> __ret;
786
787       if (_M_size == 0)
788	 return __ret;
789
790       _Tp* __restrict__ __tmp_M_data =
791	 std::__valarray_get_storage<_Tp>(_M_size);
792
793       if (__n == 0)
794	 std::__valarray_copy_construct(_M_data,
795					_M_data + _M_size, __tmp_M_data);
796       else if (__n > 0)      // shift left
797	 {
798	   if (size_t(__n) > _M_size)
799	     __n = _M_size;
800
801	   std::__valarray_copy_construct(_M_data + __n,
802					  _M_data + _M_size, __tmp_M_data);
803	   std::__valarray_default_construct(__tmp_M_data + _M_size - __n,
804					     __tmp_M_data + _M_size);
805	 }
806       else                   // shift right
807	 {
808	   if (size_t(-__n) > _M_size)
809	     __n = -_M_size;
810
811	   std::__valarray_copy_construct(_M_data, _M_data + _M_size + __n,
812					  __tmp_M_data - __n);
813	   std::__valarray_default_construct(__tmp_M_data,
814					     __tmp_M_data - __n);
815	 }
816
817       __ret._M_size = _M_size;
818       __ret._M_data = __tmp_M_data;
819       return __ret;
820     }
821
822  template<class _Tp>
823     inline valarray<_Tp>
824     valarray<_Tp>::cshift(int __n) const
825     {
826       valarray<_Tp> __ret;
827
828       if (_M_size == 0)
829	 return __ret;
830
831       _Tp* __restrict__ __tmp_M_data =
832	 std::__valarray_get_storage<_Tp>(_M_size);
833
834       if (__n == 0)
835	 std::__valarray_copy_construct(_M_data,
836					_M_data + _M_size, __tmp_M_data);
837       else if (__n > 0)      // cshift left
838	 {
839	   if (size_t(__n) > _M_size)
840	     __n = __n % _M_size;
841
842	   std::__valarray_copy_construct(_M_data, _M_data + __n,
843					  __tmp_M_data + _M_size - __n);
844	   std::__valarray_copy_construct(_M_data + __n, _M_data + _M_size,
845					  __tmp_M_data);
846	 }
847       else                   // cshift right
848	 {
849	   if (size_t(-__n) > _M_size)
850	     __n = -(size_t(-__n) % _M_size);
851
852	   std::__valarray_copy_construct(_M_data + _M_size + __n,
853					  _M_data + _M_size, __tmp_M_data);
854	   std::__valarray_copy_construct(_M_data, _M_data + _M_size + __n,
855					  __tmp_M_data - __n);
856	 }
857
858       __ret._M_size = _M_size;
859       __ret._M_data = __tmp_M_data;
860       return __ret;
861     }
862
863  template<class _Tp>
864    inline void
865    valarray<_Tp>::resize(size_t __n, _Tp __c)
866    {
867      // This complication is so to make valarray<valarray<T> > work
868      // even though it is not required by the standard.  Nobody should
869      // be saying valarray<valarray<T> > anyway.  See the specs.
870      std::__valarray_destroy_elements(_M_data, _M_data + _M_size);
871      if (_M_size != __n)
872	{
873	  std::__valarray_release_memory(_M_data);
874	  _M_size = __n;
875	  _M_data = __valarray_get_storage<_Tp>(__n);
876	}
877      std::__valarray_fill_construct(_M_data, _M_data + __n, __c);
878    }
879
880  template<typename _Tp>
881    inline _Tp
882    valarray<_Tp>::min() const
883    {
884      _GLIBCXX_DEBUG_ASSERT(_M_size > 0);
885      return *std::min_element(_M_data, _M_data+_M_size);
886    }
887
888  template<typename _Tp>
889    inline _Tp
890    valarray<_Tp>::max() const
891    {
892      _GLIBCXX_DEBUG_ASSERT(_M_size > 0);
893      return *std::max_element(_M_data, _M_data+_M_size);
894    }
895
896  template<class _Tp>
897    inline _Expr<_ValFunClos<_ValArray, _Tp>, _Tp>
898    valarray<_Tp>::apply(_Tp func(_Tp)) const
899    {
900      typedef _ValFunClos<_ValArray, _Tp> _Closure;
901      return _Expr<_Closure, _Tp>(_Closure(*this, func));
902    }
903
904  template<class _Tp>
905    inline _Expr<_RefFunClos<_ValArray, _Tp>, _Tp>
906    valarray<_Tp>::apply(_Tp func(const _Tp &)) const
907    {
908      typedef _RefFunClos<_ValArray, _Tp> _Closure;
909      return _Expr<_Closure, _Tp>(_Closure(*this, func));
910    }
911
912#define _DEFINE_VALARRAY_UNARY_OPERATOR(_Op, _Name)                     \
913  template<typename _Tp>						\
914    inline typename valarray<_Tp>::template _UnaryOp<_Name>::_Rt      	\
915    valarray<_Tp>::operator _Op() const					\
916    {									\
917      typedef _UnClos<_Name, _ValArray, _Tp> _Closure;	                \
918      typedef typename __fun<_Name, _Tp>::result_type _Rt;              \
919      return _Expr<_Closure, _Rt>(_Closure(*this));			\
920    }
921
922    _DEFINE_VALARRAY_UNARY_OPERATOR(+, __unary_plus)
923    _DEFINE_VALARRAY_UNARY_OPERATOR(-, __negate)
924    _DEFINE_VALARRAY_UNARY_OPERATOR(~, __bitwise_not)
925    _DEFINE_VALARRAY_UNARY_OPERATOR (!, __logical_not)
926
927#undef _DEFINE_VALARRAY_UNARY_OPERATOR
928
929#define _DEFINE_VALARRAY_AUGMENTED_ASSIGNMENT(_Op, _Name)               \
930  template<class _Tp>							\
931    inline valarray<_Tp>&						\
932    valarray<_Tp>::operator _Op##=(const _Tp &__t)			\
933    {									\
934      _Array_augmented_##_Name(_Array<_Tp>(_M_data), _M_size, __t);	\
935      return *this;							\
936    }									\
937									\
938  template<class _Tp>							\
939    inline valarray<_Tp>&						\
940    valarray<_Tp>::operator _Op##=(const valarray<_Tp> &__v)		\
941    {									\
942      _GLIBCXX_DEBUG_ASSERT(_M_size == __v._M_size);                    \
943      _Array_augmented_##_Name(_Array<_Tp>(_M_data), _M_size, 		\
944			       _Array<_Tp>(__v._M_data));		\
945      return *this;							\
946    }
947
948_DEFINE_VALARRAY_AUGMENTED_ASSIGNMENT(+, __plus)
949_DEFINE_VALARRAY_AUGMENTED_ASSIGNMENT(-, __minus)
950_DEFINE_VALARRAY_AUGMENTED_ASSIGNMENT(*, __multiplies)
951_DEFINE_VALARRAY_AUGMENTED_ASSIGNMENT(/, __divides)
952_DEFINE_VALARRAY_AUGMENTED_ASSIGNMENT(%, __modulus)
953_DEFINE_VALARRAY_AUGMENTED_ASSIGNMENT(^, __bitwise_xor)
954_DEFINE_VALARRAY_AUGMENTED_ASSIGNMENT(&, __bitwise_and)
955_DEFINE_VALARRAY_AUGMENTED_ASSIGNMENT(|, __bitwise_or)
956_DEFINE_VALARRAY_AUGMENTED_ASSIGNMENT(<<, __shift_left)
957_DEFINE_VALARRAY_AUGMENTED_ASSIGNMENT(>>, __shift_right)
958
959#undef _DEFINE_VALARRAY_AUGMENTED_ASSIGNMENT
960
961#define _DEFINE_VALARRAY_EXPR_AUGMENTED_ASSIGNMENT(_Op, _Name)          \
962  template<class _Tp> template<class _Dom>				\
963    inline valarray<_Tp>&						\
964    valarray<_Tp>::operator _Op##=(const _Expr<_Dom, _Tp>& __e)		\
965    {									\
966      _Array_augmented_##_Name(_Array<_Tp>(_M_data), __e, _M_size);	\
967      return *this;							\
968    }
969
970_DEFINE_VALARRAY_EXPR_AUGMENTED_ASSIGNMENT(+, __plus)
971_DEFINE_VALARRAY_EXPR_AUGMENTED_ASSIGNMENT(-, __minus)
972_DEFINE_VALARRAY_EXPR_AUGMENTED_ASSIGNMENT(*, __multiplies)
973_DEFINE_VALARRAY_EXPR_AUGMENTED_ASSIGNMENT(/, __divides)
974_DEFINE_VALARRAY_EXPR_AUGMENTED_ASSIGNMENT(%, __modulus)
975_DEFINE_VALARRAY_EXPR_AUGMENTED_ASSIGNMENT(^, __bitwise_xor)
976_DEFINE_VALARRAY_EXPR_AUGMENTED_ASSIGNMENT(&, __bitwise_and)
977_DEFINE_VALARRAY_EXPR_AUGMENTED_ASSIGNMENT(|, __bitwise_or)
978_DEFINE_VALARRAY_EXPR_AUGMENTED_ASSIGNMENT(<<, __shift_left)
979_DEFINE_VALARRAY_EXPR_AUGMENTED_ASSIGNMENT(>>, __shift_right)
980
981#undef _DEFINE_VALARRAY_EXPR_AUGMENTED_ASSIGNMENT
982
983
984#define _DEFINE_BINARY_OPERATOR(_Op, _Name)				\
985  template<typename _Tp>						\
986    inline _Expr<_BinClos<_Name, _ValArray, _ValArray, _Tp, _Tp>,       \
987                 typename __fun<_Name, _Tp>::result_type>               \
988    operator _Op(const valarray<_Tp>& __v, const valarray<_Tp>& __w)	\
989    {									\
990      _GLIBCXX_DEBUG_ASSERT(__v.size() == __w.size());                  \
991      typedef _BinClos<_Name, _ValArray, _ValArray, _Tp, _Tp> _Closure; \
992      typedef typename __fun<_Name, _Tp>::result_type _Rt;              \
993      return _Expr<_Closure, _Rt>(_Closure(__v, __w));                  \
994    }									\
995									\
996  template<typename _Tp>						\
997    inline _Expr<_BinClos<_Name, _ValArray,_Constant, _Tp, _Tp>,        \
998                 typename __fun<_Name, _Tp>::result_type>               \
999    operator _Op(const valarray<_Tp>& __v, const _Tp& __t)		\
1000    {									\
1001      typedef _BinClos<_Name, _ValArray, _Constant, _Tp, _Tp> _Closure;	\
1002      typedef typename __fun<_Name, _Tp>::result_type _Rt;              \
1003      return _Expr<_Closure, _Rt>(_Closure(__v, __t));	                \
1004    }									\
1005									\
1006  template<typename _Tp>						\
1007    inline _Expr<_BinClos<_Name, _Constant, _ValArray, _Tp, _Tp>,       \
1008                 typename __fun<_Name, _Tp>::result_type>               \
1009    operator _Op(const _Tp& __t, const valarray<_Tp>& __v)		\
1010    {									\
1011      typedef _BinClos<_Name, _Constant, _ValArray, _Tp, _Tp> _Closure; \
1012      typedef typename __fun<_Name, _Tp>::result_type _Rt;              \
1013      return _Expr<_Closure, _Rt>(_Closure(__t, __v));        	        \
1014    }
1015
1016_DEFINE_BINARY_OPERATOR(+, __plus)
1017_DEFINE_BINARY_OPERATOR(-, __minus)
1018_DEFINE_BINARY_OPERATOR(*, __multiplies)
1019_DEFINE_BINARY_OPERATOR(/, __divides)
1020_DEFINE_BINARY_OPERATOR(%, __modulus)
1021_DEFINE_BINARY_OPERATOR(^, __bitwise_xor)
1022_DEFINE_BINARY_OPERATOR(&, __bitwise_and)
1023_DEFINE_BINARY_OPERATOR(|, __bitwise_or)
1024_DEFINE_BINARY_OPERATOR(<<, __shift_left)
1025_DEFINE_BINARY_OPERATOR(>>, __shift_right)
1026_DEFINE_BINARY_OPERATOR(&&, __logical_and)
1027_DEFINE_BINARY_OPERATOR(||, __logical_or)
1028_DEFINE_BINARY_OPERATOR(==, __equal_to)
1029_DEFINE_BINARY_OPERATOR(!=, __not_equal_to)
1030_DEFINE_BINARY_OPERATOR(<, __less)
1031_DEFINE_BINARY_OPERATOR(>, __greater)
1032_DEFINE_BINARY_OPERATOR(<=, __less_equal)
1033_DEFINE_BINARY_OPERATOR(>=, __greater_equal)
1034
1035#undef _DEFINE_BINARY_OPERATOR
1036
1037_GLIBCXX_END_NAMESPACE
1038
1039#endif /* _GLIBCXX_VALARRAY */
1040